Conditions for CP-violation in the general two-Higgs-doublet model
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The most general Higgs potential of the two-Higgs-doublet model (2HDM) contains three squared-mass parameters and seven quartic self-coupling parameters. Among these, one squared-mass parameter and three quartic coupling parameters are potentially complex. The Higgs potential explicitly violates CP symmetry if and only if no choice of basis exists in the two-dimensional Higgs flavor space in which all the Higgs potential parameters are real. We exhibit four independent potentially complex invariant (basis-independent) combinations of mass and coupling parameters and show that the reality of all four invariants provides the necessary and sufficient conditions for an explicitly CP-conserving 2HDM scalar potential. Additional potentially complex invariants can be constructed that depend on the Higgs field vacuum expectation values (vevs). We demonstrate how these can be used together with the vev-independent invariants to distinguish between explicit and spontaneous CP violation in the Higgs sector.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/07c73587dae5f1a7a99987572915c9cc55708b7c
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In Nuclear and High Energy Physics
Citations in the corpus
- Maximally symmetric two Higgs doublet model with natural standard model alignment (2014, background): “In a specific diagonally reduced bilinear basis [37, 38], one has the general restrictions Im(λ5) = 0 and λ6 = λ7, thus reducing the number of independent quartic couplings to seven.”
- Building and testing models with extended Higgs sectors (2017, methodology): “If fact, Y ’s can be eliminated via extremization condition, giving these invariants in terms of vevs and the quartic tensor Z’s [196].”
- Metastability bounds on the two Higgs doublet model (2013, unknown): “The existence of such a basis is guaranteed by explicit CP conservation [58].”